A generalized parabolic De Giorgi class with unbalanced growth is shown to have locally bounded members under sharp integrability assumptions, with quantitative supremum estimates.
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Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: local boundedness under exact integrability assumptions
A generalized parabolic De Giorgi class with unbalanced growth is shown to have locally bounded members under sharp integrability assumptions, with quantitative supremum estimates.